๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A relation between the output regulation and the observer design for nonlinear systems

โœ Scribed by V. Sundarapandian


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
434 KB
Volume
16
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

โœฆ Synopsis


Output regulation and observer design are two important problems for nonlinear systems, and there is a vast literature addressing each problem separately in the control literature. Isidori and Byrnes [1] have solved the output regulation problem for nonlinear systems with a Poisson stable exosystem, and Sundarapandian [2] has solved the exponential observer design problem for Lyapunov stable nonlinear systems. In this paper, we demonstrate that for a special class of Lyapunov stable nonlinear systems, namely neutrally stable systems, the exponential observer design problem can be solved by converting it into an output regulation problem and then solving the new problem using the output regulation techniques of Isidori and Byrnes [1]. Finally, we present the corresponding results for the discrete-time case. (~) 2003 Elsevier Science Ltd? All rights reserved.


๐Ÿ“œ SIMILAR VOLUMES


On the design of output regulators for n
โœ D. Cheng; T.J. Tarn; S.K. Spurgeon ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 130 KB

This paper considers the output regulation problem for nonlinear systems. By adding the assumption that the decoupling matrix of the system under consideration has maximum rank, the general results presented in Isidori and Byrnes (IEEE Trans. Automat. Control 35(2) (1990) 131-140) have been improved

Output regulation for nonlinear systems:
โœ C. I. Byrnes; A. Isidori ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 143 KB ๐Ÿ‘ 1 views

The problem of controlling the output of a system so as to achieve asymptotic tracking of prescribed trajectories and/or asymptotic rejection of disturbances is one of the most fundamental problems in control theory. In linear system theory, a powerful approach to the solution of this problem is the

Output regulation of nonlinear systems e
โœ Pasquale Lucibello ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 665 KB

A class of nonlinear control systems is considered whose state evolves in the neighborhood of a period orbit. Necessary and sufficient conditions are given for tracking a family of output reference trajectories while rejecting a family of disturbances both generated by a Poisson stable exosystem. A